To complete the square, add and subtract (b/2a)^2 to the equation, then factor the resulting trinomial. Completing the Square: Completing the square is a method for solving quadratic equations.Point-Slope Form: The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.Ī quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants, and x is the variable.Slope-Intercept Form: The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.For example, to solve 2x + 3 = 7, subtract 3 from both sides to get 2x = 4, then divide both sides by 2 to get x = 2. Solving Linear Equations: To solve a linear equation for one variable, use inverse operations to isolate the variable on one side of the equation.The formula is x = (-b ± sqrt(b^2 - 4ac)) / 2aĪlgebraic Equations Cheat Sheet Linear EquationsĪ linear equation is an equation of the form Ax + By = C, where A, B, and C are constants, and x and y are variables. Quadratic Formula: The quadratic formula can be used to find the roots of a quadratic equation.FOIL Method: (a + b)(c + d) = ac + ad + bc + bd.Factoring: To factor a polynomial, find the common factor of all the terms and divide each term by that factor.Distributive Property: a(b+c) = ab + ac.Division: To divide two or more terms, just divide the coefficients and subtract the exponents of the like variables.Multiplication: To multiply two or more terms, just multiply the coefficients and add the exponents of the like variables.Subtraction: To subtract two or more terms, just subtract the coefficients of the like terms.Addition: To add two or more terms, just combine the coefficients of the like terms.Algebraic Expressions Basic Algebraic Expressions
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